I have a Master Lock 9-link street cuffs and these are nice when there's something small enough to lock the bike around, but as I'm using it for more and more trips, I'm seeing that many places it won't reach around anything.

So I'm looking at monster chain + padlock type setups now.

On Amazon I see there's a 3' regular chain with Kryptonite Fagheddaboutit lock, a 3' regular-chain with the Kryptonite EV-disk lock, and also a 4' New York Noose with the EV-disk lock too. (I see there's a 5' regular-chain one also, but I think that's a bit much)

Which of the two lock types is better? ...or newer? The Fagheddaboutit or the EV-disk?

the big mini u that comes with the Fuggedaboudit is a little bigger and heavier; also it comes completely apart which can be dicey if u have your hands full and are rushing to lock up (basically that's me every morning!). On the other hand it is supposedly more theft-resistant than the next level down (I got one of those in exchange for my old round key model - which was old enough that the cylinder was too large for the bic pen pick method, but I figured, what the hey, a free new lock!).

The only advantage I can think of with the noose chain is that--IF--the lock can be inserted through any of the links,,, then you would be able to push the sleeve up and put the lock through one of the "middle" links, removing all the slack from the locked portion of the chain. ...But I haven't ever handled one, so I dunno if this works or not.....
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The Fagheddaboutit is Kryptonite's top of the line lock. It has hexagonal cross-section chain links and a really beefy lock. That said, it has one serious flaw - the lock will only fit through the links on the end of the chain. The lock is coated in rubber so you can (supposedly) cut the rubber off to make the shackle thin enough to fit in any of the links.

For what it's worth, I have the regular NY Chain, the lock fits through any link and I have used it for years in NYC without having my bike stolen (knock on wood).

The May 2007 issue of "Cycling Plus" has the results of their most recent lock tests. As always, their tests show that any lock that has the work "Masterlock" on it is not actually a lock: it is a sign saying "Get your free bike right here".

The best (and most expensive) chain locks from OnGuard and Kryptonite have done well in testing by "Cycling Plus" and in testing by soldsecure.com. However, an eight pound or ten pound chain does NOT provide better security than a five pound u-lock, such as the Kryptonite Fahgettaboudit u-lock. I have no problem finding beefy steel poles set in concrete that are perfect for use with a u-lock...why use a chain?

... I have no problem finding beefy steel poles set in concrete that are perfect for use with a u-lock...why use a chain?....

Mostly where I live now, is telephone and parking-lot light poles. A couple places have foot-diameter flagpoles right next to the door, and nothing else nearby.

Also I've undergone something of a philosophical transition: I used to lock up to whatever I could find that was small enough, even if it was out of the way or in an area of poor visibility. Now if I ride my bike and the place I'm going to doesn't have a bike rack, then I want to lock my bike up as close to the front doors as possible, as long as the bike isn't totally in the way.
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Are you interested in bike specific chains/locks only? Or are you open to other things? I use a 5 foot chain with links too thick for almost all chain cutters to fit around them and a heavy industrial lock, Cost $0.00, I found them on the road side and figured out the lock combo. Try an commercial safety supply store or some industrial supply store like Grainger's. There are locks and chains for securing things far more valuable then our bikes.